| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
What is \( 5 \)\( \sqrt{75} \) - \( 2 \)\( \sqrt{3} \)
| 3\( \sqrt{225} \) | |
| 3\( \sqrt{25} \) | |
| 23\( \sqrt{3} \) | |
| 3\( \sqrt{3} \) |
To subtract these radicals together their radicands must be the same:
5\( \sqrt{75} \) - 2\( \sqrt{3} \)
5\( \sqrt{25 \times 3} \) - 2\( \sqrt{3} \)
5\( \sqrt{5^2 \times 3} \) - 2\( \sqrt{3} \)
(5)(5)\( \sqrt{3} \) - 2\( \sqrt{3} \)
25\( \sqrt{3} \) - 2\( \sqrt{3} \)
Now that the radicands are identical, you can subtract them:
25\( \sqrt{3} \) - 2\( \sqrt{3} \)The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
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least common multiple |
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absolute value |
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greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Which of the following is a mixed number?
\({a \over 5} \) |
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\({5 \over 7} \) |
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\(1 {2 \over 5} \) |
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\({7 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Roger buys two shirts, each with a regular price of $27, how much money will he save?
| $2.70 | |
| $8.10 | |
| $4.05 | |
| $9.45 |
By buying two shirts, Roger will save $27 x \( \frac{30}{100} \) = \( \frac{$27 x 30}{100} \) = \( \frac{$810}{100} \) = $8.10 on the second shirt.
15 members of a bridal party need transported to a wedding reception but there are only 2 5-passenger taxis available to take them. How many will need to find other transportation?
| 1 | |
| 9 | |
| 2 | |
| 5 |
There are 2 5-passenger taxis available so that's 2 x 5 = 10 total seats. There are 15 people needing transportation leaving 15 - 10 = 5 who will have to find other transportation.